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<html lang="en">
    <% let {list:data,primary} = require(`../data.json`)%>
<head>
    <meta charset="UTF-8">
    <meta http-equiv="X-UA-Compatible" content="IE=edge">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <link rel="shortcut icon" type="image/x-icon" href="//www.ieduchina.com/statics/pcc/img/favicon.ico">
    <title>Mathematics Assessment 2022 Primary <%=primary%>></title>
</head>
<body>
    <%=require(`@cs/pdf_en_header/index.ejs`)({name:`Questions for Grade ${primary} Entrance Exam--math:<br/>${primary}年级数学入学测试 `})%>
    <section>
        <ul>
            <li>
                <p class="p">1. <%=data[0].timu%></p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <span class="error">0.0001</span>
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span>0.00012</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">2. <%=data[1].timu%></p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <img lazy preview src="<%=require(`@images/g1-1-4.png`)%>" alt="">
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
                        <span>a<sup>4</sup>b<sup>6</sup></span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">3. <%=data[2].timu%></p>
                <%=data[2].timu1%>
                <p>
                    <%=data[2].timu2%><br>
                    <%=data[2].timu3%><br>
                    <%=data[2].timu4%><br>
                    <%=data[2].timu5%>
                </p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <span>C</span>
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span>C</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">4. <%=data[3].timu%>（）<br>
                    <img src="<%=require(`../images/${data[3].img}`)%>"><br>
                    <br>
                    <%=data[3].timu1%><br>
                    <%=data[3].timu2%><br>
                    <%=data[3].timu3%><br>
                    <%=data[3].timu4%>
                </p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <span>D</span>
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span>D</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">5. <%=data[4].timu%>（）<br>
                    <br>
                    <%=data[4].timu1%><br>
                    <%=data[4].timu2%><br>
                    <%=data[4].timu3%><br>
                    <%=data[4].timu4%>
                </p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <span>B</span>
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span>B</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">6. <%=data[5].timu%></p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <img lazy preview src="<%=require(`@images/g1-1-4.png`)%>" alt="">
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span>all values of b less than 1</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">7. <%=data[6].timu%></p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <img lazy preview src="<%=require(`@images/g1-1-4.png`)%>" alt="">
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span>y=3</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">8. <%=data[7].timu%>（）</p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <img lazy preview src="<%=require(`@images/g1-1-4.png`)%>" alt="">
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
                        <span>The speed of the boat in still water = 14km/hr</span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">9. <%=data[8].timu%>（）<br>
                    <img src="<%=require(`../images/${data[8].img}`)%>"></p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <img lazy preview src="<%=require(`@images/g1-1-4.png`)%>" alt="">
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
						<span style="text-align: left;">44=2(3x+2)+2(5x+4)<br>
                            x=2<br>
                            height=area/base<br>
                            =64/14=32/7cm<br>
                            sin(T)=(32/7)/8=32/56=4/7,T=arcsin(4/7)=34.8
                        </span>
					</p>
                </div>
            </li>
            <li>
                <p class="p">10. <%=data[9].timu%></p>
                <div class="bg bg13">
                    <p><span>Student answers：</span><span>评分：5</span></p>
                    <p>
                        <img lazy preview src="<%=require(`@images/g1-1-4.png`)%>" alt="">
                    </p>
                </div>
                <div class="bg bg13">
                    <p><span>Standard answer：</span></p>
                    <p>
                        <span style="text-align: left;">area of OAB = 72 = (1/2) sin(AOB) x OA x OB<br>
                            solve the above for sin(AOB) to find sin (AOB) = 1/2<br>
                            area of ODC = 288 = (1/2) sin(DOC) x OD x OD<br>
                            Note than sin(DOC) = sin(AOB)=1/2,<br>
                            OD=18+y and OC = 16 + x and substitute<br>
                            in the above to obtain the first qeuation in x and y<br>
                            1152 = (18 + y)(16 + x)<br>
                            We now use the theorem of the intersecting lines outside a circle to write a second equation in x and y<br>
                            16 x (16 + x) = 14 x (14 + y)<br>
                            Solve the two equations simultaneously to obtain<br>
                            x = 20 and y =14
                        </span>
                    </p>
                </div>
            </li>
        </ul>
    </section>
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